768792794426496 has 192 divisors, whose sum is σ = 2528525161356480. Its totient is φ = 219637394049024.

The previous prime is 768792794426479. The next prime is 768792794426519. The reversal of 768792794426496 is 694624497297867.

768792794426496 is a `hidden beast` number, since 7 + 6 + 8 + 7 + 9 + 2 + 7 + 94 + 4 + 26 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96459195 + ... + 104124741.

It is an arithmetic number, because the mean of its divisors is an integer number (13169401882065).

Almost surely, 2^{768792794426496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768792794426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264262580678240).

768792794426496 is an abundant number, since it is smaller than the sum of its proper divisors (1759732366929984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

768792794426496 is a wasteful number, since it uses less digits than its factorization.

768792794426496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678011 (or 7677996 counting only the distinct ones).

The product of its digits is 110612791296, while the sum is 90.

The spelling of 768792794426496 in words is "seven hundred sixty-eight trillion, seven hundred ninety-two billion, seven hundred ninety-four million, four hundred twenty-six thousand, four hundred ninety-six".